444080400 has 60 divisors (see below), whose sum is σ = 1422541392. Its totient is φ = 118421120.

The previous prime is 444080381. The next prime is 444080411. The reversal of 444080400 is 4080444.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183834 + ... + 186233.

Almost surely, 2^444080400 is an apocalyptic number.

444080400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444080400 is an abundant number, since it is smaller than the sum of its proper divisors (978460992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444080400 is a wasteful number, since it uses less digits than its factorization.

444080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370088 (or 370077 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444080400 is about 21073.2152269178. The cubic root of 444080400 is about 762.9344080226.

The spelling of 444080400 in words is "four hundred forty-four million, eighty thousand, four hundred".